{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 10 - Bet Sizing\n",
    "## Introduction\n",
    "Your ML algorithm can achieve high accuracy, but if you do not size your bets properly, your investment strategy will inevitably lose money. This notebook contains the worked exercises from the end of chapter 10 of \"Advances in Financial Machine Learning\" by Marcos López de Prado. The questions are restated here in this notebook, with the accompanying code solutions following directly below each question. All exercises from chapter 10 are solved in this notebook using the functionality provided by `mlfinlab`.\n",
    "## Conclusion\n",
    "This notebook demonstrates different bet sizing algorithms in the sample case of a *long-only* trading strategy. Simply counting and averaging the number of open bets at any given time led to a more aggressive bet sizing than the algorithm based on fit Gaussians to the distribution of open bets, as discussed in exercise 10.4. The EF3M algorithm implemented in `mlfinlab` and applied in exercise 10.4 provides a scalable and accurate way to determine the parameters of a distribution under the assumption that it is a mixture of two Gaussian distributions. Bet sizing based on the confidence (probability) of a prediction seems to be the predunt choice when one has a well-functioning ML algorithm, though care should be taken at the top end since prediction probabilities of less than a perfect 1.0 can suggest a bet size of 1.0.\n",
    "## Next Steps\n",
    "While the examples in these exercises were relatively simple, it could be useful to be able to determine the parameters of a distribution under the assumption that it is a mixture of $n$ Gaussian distributions. Additionally, we would like to upgrade the optimization algorithm for EF3M to reduce the amount of time needed to get high accuracy."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "----\n",
    "## Exercises\n",
    "Below are the worked solutions to the exercises. All code can be run as is in this notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# imports\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import datetime as dt\n",
    "from scipy.stats import norm, moment\n",
    "from multiprocessing import cpu_count\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm\n",
    "import seaborn as sns\n",
    "\n",
    "from IPython.display import display\n",
    "\n",
    "from mlfinlab.bet_sizing import (bet_size_probability, bet_size_dynamic, bet_size_budget, bet_size_reserve,\n",
    "                                 confirm_and_cast_to_df, get_concurrent_sides, cdf_mixture, single_bet_size_mixed,\n",
    "                                 M2N, centered_moment, raw_moment, most_likely_parameters)\n",
    "from mlfinlab.bet_sizing.ch10_snippets import avg_active_signals, bet_size_power"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "#### EXERCISE 10.1\n",
    "Using the formulation in Section 10.3, plot the bet size ($m$) as a function of the maximum predicted probability ($\\tilde{p}$) when $||X|| = 2, 3, ..., 10$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1152x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_classes_list = [i for i in range(2, 11, 1)]  # array of number of classes, 2 to 10\n",
    "sample_size = 10_000  # number of points to plot\n",
    "colors = iter(cm.coolwarm(np.linspace(0,1,len(num_classes_list))))\n",
    "\n",
    "# === Setup the t1 Series, also used for exercise 10.2 ===\n",
    "# Create the array of dates.\n",
    "start_date = dt.datetime(2000, 1, 1)  # starting at 01-JAN-2000\n",
    "date_step = dt.timedelta(days=1)\n",
    "dates = np.array([start_date + i*date_step for i in range(sample_size)])\n",
    "# Create the array of shifted dates to be the end date of the bet.\n",
    "shift_list = np.random.uniform(1., 25., sample_size)\n",
    "shift_dt = np.array([dt.timedelta(days=d) for d in shift_list])\n",
    "# Combine into a pandas.Series object\n",
    "dates_shifted = dates + shift_dt\n",
    "t1 = pd.Series(data=dates_shifted, index=dates)\n",
    "\n",
    "# Start plotting loop.\n",
    "fig_10_1, ax_10_1 = plt.subplots(figsize=(16, 10))\n",
    "\n",
    "for num_classes in num_classes_list:\n",
    "    # Create the array of random probabilities.\n",
    "    min_prob, max_prob = 1 / num_classes, 1  # possible range for maximum predicted probability, [1/||X||, 1]\n",
    "    P = np.linspace(min_prob, max_prob, sample_size, endpoint=False)  # range of maximum predicted probabilities to plot\n",
    "    # Combine probabilities with 't1' Series into a DataFrame for the bet size function.\n",
    "    events_n_classes = pd.DataFrame({'t1': t1, 'prob': P})\n",
    "    events_n_classes['bet_size_prob'] = bet_size_probability(events=events_n_classes, prob=events_n_classes['prob'], num_classes=num_classes)\n",
    "    ax_10_1.plot(events_n_classes['prob'], events_n_classes['bet_size_prob'], label=f\"||X||={num_classes}\", linewidth=2, alpha=1, color=colors.__next__())\n",
    "\n",
    "ax_10_1.set_ylabel(\"Bet Size $m=2Z[z]-1$\", fontsize=16)\n",
    "ax_10_1.set_xlabel(r\"Maximum Predicted Probability $\\tilde{p}=max_i${$p_i$}\", fontsize=16)\n",
    "ax_10_1.set_title(\"Figure 10.1: Bet Size vs. Maximum Predicted Probability\", fontsize=18)\n",
    "ax_10_1.set_xticks([0.1*i for i in range(11)])\n",
    "ax_10_1.set_yticks([0.1*i for i in range(11)])\n",
    "ax_10_1.legend(loc=\"upper left\", fontsize=14, title=\"Number of bet size labels\", title_fontsize=12)\n",
    "ax_10_1.set_ylim((0,1.05))\n",
    "ax_10_1.set_xlim((0, 1.05))\n",
    "ax_10_1.grid(linewidth=1, linestyle=':')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure 10.1** shows the bet size vs. the maximum predicted probability given the number of discrete bet size labels. The left-side of each line represents the case in which the maximum probability across the size labels is $\\frac{1}{||X||}$ and all probabilities are equal, leading to a bet size of zero. Note the bet size reaches the limiting value $1.0$ faster at greater values of $||X||$, since the greater number of alternative bets spreads the remaining probability much thinner, leading to a greater confidence in that with the maximum predicted probability."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "#### EXERCISE 10.2\n",
    "Draw 10,000 random numbers from a uniform distribution with bounds U[.5, 1.]. (Author's note: These exercises are intended to simulate dynamic bet sizing of a long-only strategy.)\n",
    "\n",
    "__(a)__ Compute bet sizes _m_ for $||X||=2$.\n",
    "\n",
    "__(b)__ Assign 10,000 consecutive calendar days to the bet sizes.\n",
    "\n",
    "__(c)__ Draw 10,000 random numbers from a uniform distribution with bounds U[1, 25].\n",
    "\n",
    "__(d)__ Form a `pandas.Series` indexed by the dates in 2.b, and with values equal to the index shifted forward the number of days in 2.c. This is a `t1` object similar to the ones we used in Chapter 3.\n",
    "\n",
    "__(e)__ Compute the resulting average active bets, following Section 10.4.\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2019-10-02 20:03:59.805405 87.5% mp_avg_active_signals done after 0.18 minutes. Remaining 0.03 minutes.\r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The first 10 rows of the resulting DataFrame from Exercise 10.2:\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2019-10-02 20:04:00.159559 100.0% mp_avg_active_signals done after 0.19 minutes. Remaining 0.0 minutes.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>t1</th>\n",
       "      <th>prob</th>\n",
       "      <th>bet_size_prob</th>\n",
       "      <th>side</th>\n",
       "      <th>avg_active_bet_size</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-01</th>\n",
       "      <td>2000-01-12 15:50:13.258288</td>\n",
       "      <td>0.774407</td>\n",
       "      <td>0.488510</td>\n",
       "      <td>1</td>\n",
       "      <td>0.488510</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-02</th>\n",
       "      <td>2000-01-09 05:21:42.152768</td>\n",
       "      <td>0.857595</td>\n",
       "      <td>0.693816</td>\n",
       "      <td>1</td>\n",
       "      <td>0.591163</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-03</th>\n",
       "      <td>2000-01-20 21:28:01.955429</td>\n",
       "      <td>0.801382</td>\n",
       "      <td>0.550002</td>\n",
       "      <td>1</td>\n",
       "      <td>0.577443</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>2000-01-24 14:57:44.329568</td>\n",
       "      <td>0.772442</td>\n",
       "      <td>0.484193</td>\n",
       "      <td>1</td>\n",
       "      <td>0.554130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>2000-01-08 02:02:41.684181</td>\n",
       "      <td>0.711827</td>\n",
       "      <td>0.360002</td>\n",
       "      <td>1</td>\n",
       "      <td>0.515304</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-06</th>\n",
       "      <td>2000-01-18 10:30:20.825595</td>\n",
       "      <td>0.822947</td>\n",
       "      <td>0.602473</td>\n",
       "      <td>1</td>\n",
       "      <td>0.529832</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-07</th>\n",
       "      <td>2000-01-23 21:01:48.456309</td>\n",
       "      <td>0.718794</td>\n",
       "      <td>0.373496</td>\n",
       "      <td>1</td>\n",
       "      <td>0.507499</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-08</th>\n",
       "      <td>2000-01-24 19:13:43.744155</td>\n",
       "      <td>0.945887</td>\n",
       "      <td>0.951258</td>\n",
       "      <td>1</td>\n",
       "      <td>0.562969</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-09</th>\n",
       "      <td>2000-01-20 00:25:35.457341</td>\n",
       "      <td>0.981831</td>\n",
       "      <td>0.999691</td>\n",
       "      <td>1</td>\n",
       "      <td>0.642930</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-10</th>\n",
       "      <td>2000-01-15 04:41:49.082182</td>\n",
       "      <td>0.691721</td>\n",
       "      <td>0.321986</td>\n",
       "      <td>1</td>\n",
       "      <td>0.596451</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                   t1      prob  bet_size_prob  side  \\\n",
       "2000-01-01 2000-01-12 15:50:13.258288  0.774407       0.488510     1   \n",
       "2000-01-02 2000-01-09 05:21:42.152768  0.857595       0.693816     1   \n",
       "2000-01-03 2000-01-20 21:28:01.955429  0.801382       0.550002     1   \n",
       "2000-01-04 2000-01-24 14:57:44.329568  0.772442       0.484193     1   \n",
       "2000-01-05 2000-01-08 02:02:41.684181  0.711827       0.360002     1   \n",
       "2000-01-06 2000-01-18 10:30:20.825595  0.822947       0.602473     1   \n",
       "2000-01-07 2000-01-23 21:01:48.456309  0.718794       0.373496     1   \n",
       "2000-01-08 2000-01-24 19:13:43.744155  0.945887       0.951258     1   \n",
       "2000-01-09 2000-01-20 00:25:35.457341  0.981831       0.999691     1   \n",
       "2000-01-10 2000-01-15 04:41:49.082182  0.691721       0.321986     1   \n",
       "\n",
       "            avg_active_bet_size  \n",
       "2000-01-01             0.488510  \n",
       "2000-01-02             0.591163  \n",
       "2000-01-03             0.577443  \n",
       "2000-01-04             0.554130  \n",
       "2000-01-05             0.515304  \n",
       "2000-01-06             0.529832  \n",
       "2000-01-07             0.507499  \n",
       "2000-01-08             0.562969  \n",
       "2000-01-09             0.642930  \n",
       "2000-01-10             0.596451  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Summary statistics on the bet size columns:\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>prob</th>\n",
       "      <th>bet_size_prob</th>\n",
       "      <th>avg_active_bet_size</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>0.748229</td>\n",
       "      <td>0.473318</td>\n",
       "      <td>0.474364</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.144803</td>\n",
       "      <td>0.312169</td>\n",
       "      <td>0.086028</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.500036</td>\n",
       "      <td>0.000058</td>\n",
       "      <td>0.157142</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.622655</td>\n",
       "      <td>0.199764</td>\n",
       "      <td>0.416895</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.746751</td>\n",
       "      <td>0.429563</td>\n",
       "      <td>0.474300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>0.874146</td>\n",
       "      <td>0.740689</td>\n",
       "      <td>0.532200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>0.999989</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.802963</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               prob  bet_size_prob  avg_active_bet_size\n",
       "count  10000.000000   10000.000000         10000.000000\n",
       "mean       0.748229       0.473318             0.474364\n",
       "std        0.144803       0.312169             0.086028\n",
       "min        0.500036       0.000058             0.157142\n",
       "25%        0.622655       0.199764             0.416895\n",
       "50%        0.746751       0.429563             0.474300\n",
       "75%        0.874146       0.740689             0.532200\n",
       "max        0.999989       1.000000             0.802963"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Draw random numbers from a uniform distribution (all bets are long)\n",
    "np.random.seed(0)\n",
    "sample_size = 10_000\n",
    "P_t = np.random.uniform(.5, 1., sample_size)  # array of random from uniform dist.\n",
    "# Create events DataFrame from P_t and t1 (previous exercise).\n",
    "events_2_classes = pd.DataFrame({'t1': t1, 'prob': P_t})\n",
    "\n",
    "# 10.2(a) Compute bet sizes for ||X||=2\n",
    "events_2_classes['bet_size_prob'] = bet_size_probability(events=events_2_classes, prob=events_2_classes['prob'], num_classes=2)\n",
    "\n",
    "# 10.2(b) Assign 10,000 consecutive calendar days.\n",
    "# See previous code cell.\n",
    "\n",
    "# 10.2(c) Draw 10,000 random numbers from a uniform distribution.\n",
    "# See previous code cell.\n",
    "\n",
    "# 10.2(d) Create a pandas.Series object.\n",
    "# See previous cell.\n",
    "\n",
    "# Since this is a long-only strategy, all bet sides are '1'.\n",
    "events_2_classes['side'] = 1\n",
    "\n",
    "# 10.2(e) Compute the average active bets (sizes).\n",
    "# Calculate the concurrent long and short bets.\n",
    "avg_active_bet_sizes = avg_active_signals(events_2_classes.rename(columns={'bet_size_prob': 'signal'}), num_threads=cpu_count())\n",
    "events_2_classes['avg_active_bet_size'] = avg_active_bet_sizes\n",
    "\n",
    "print(\"The first 10 rows of the resulting DataFrame from Exercise 10.2:\")\n",
    "display(events_2_classes.head(10))\n",
    "print(\"Summary statistics on the bet size columns:\")\n",
    "display(events_2_classes[['prob', 'bet_size_prob', 'avg_active_bet_size']].describe())\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "#### EXERCISE 10.3\n",
    "Using the `t1` object from exercise 2.d:\n",
    "\n",
    "__(a)__ Determine the maximum number of concurrent long bets, $\\bar{c_l}$.\n",
    "\n",
    "__(b)__ Determine the maximum number of concurrent short bets, $\\bar{c_s}$.\n",
    "\n",
    "__(c)__ Derive the bet size as $m_t = c_{t,l}\\frac{1}{\\bar{c_l}} - c_{t,s}\\frac{1}{\\bar{c_s}}$, where $c_{t,l}$ is the number of concurrent long bets at time $t$, and $c_{t,s}$ is the number of concurrent short bets at time $t$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  10.3(a) Maximum number of concurrent long bets: 21\n",
      "  10.3(b) Maximum number of concurrent short bets: 0\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>t1</th>\n",
       "      <th>side</th>\n",
       "      <th>active_long</th>\n",
       "      <th>active_short</th>\n",
       "      <th>bet_size_budget</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-01</th>\n",
       "      <td>2000-01-12 15:50:13.258288</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0.047619</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-02</th>\n",
       "      <td>2000-01-09 05:21:42.152768</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0.095238</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-03</th>\n",
       "      <td>2000-01-20 21:28:01.955429</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0.142857</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>2000-01-24 14:57:44.329568</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>0.190476</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>2000-01-08 02:02:41.684181</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0.238095</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-06</th>\n",
       "      <td>2000-01-18 10:30:20.825595</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>0.285714</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-07</th>\n",
       "      <td>2000-01-23 21:01:48.456309</td>\n",
       "      <td>1</td>\n",
       "      <td>7</td>\n",
       "      <td>0</td>\n",
       "      <td>0.333333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-08</th>\n",
       "      <td>2000-01-24 19:13:43.744155</td>\n",
       "      <td>1</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>0.380952</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-09</th>\n",
       "      <td>2000-01-20 00:25:35.457341</td>\n",
       "      <td>1</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>0.380952</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-10</th>\n",
       "      <td>2000-01-15 04:41:49.082182</td>\n",
       "      <td>1</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>0.380952</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                   t1  side  active_long  active_short  \\\n",
       "2000-01-01 2000-01-12 15:50:13.258288     1            1             0   \n",
       "2000-01-02 2000-01-09 05:21:42.152768     1            2             0   \n",
       "2000-01-03 2000-01-20 21:28:01.955429     1            3             0   \n",
       "2000-01-04 2000-01-24 14:57:44.329568     1            4             0   \n",
       "2000-01-05 2000-01-08 02:02:41.684181     1            5             0   \n",
       "2000-01-06 2000-01-18 10:30:20.825595     1            6             0   \n",
       "2000-01-07 2000-01-23 21:01:48.456309     1            7             0   \n",
       "2000-01-08 2000-01-24 19:13:43.744155     1            8             0   \n",
       "2000-01-09 2000-01-20 00:25:35.457341     1            8             0   \n",
       "2000-01-10 2000-01-15 04:41:49.082182     1            8             0   \n",
       "\n",
       "            bet_size_budget  \n",
       "2000-01-01         0.047619  \n",
       "2000-01-02         0.095238  \n",
       "2000-01-03         0.142857  \n",
       "2000-01-04         0.190476  \n",
       "2000-01-05         0.238095  \n",
       "2000-01-06         0.285714  \n",
       "2000-01-07         0.333333  \n",
       "2000-01-08         0.380952  \n",
       "2000-01-09         0.380952  \n",
       "2000-01-10         0.380952  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 10.3(a) Max number of concurrent long bets.\n",
    "# 10.3(b) Max number of concurrent short bets.\n",
    "events_10_3 = events_2_classes.copy()\n",
    "concurrent_bets = get_concurrent_sides(events_10_3['t1'], events_10_3['side'])\n",
    "active_long_max, active_short_max = concurrent_bets['active_long'].max(), concurrent_bets['active_short'].max()\n",
    "print(f\"  10.3(a) Maximum number of concurrent long bets: {active_long_max}\")\n",
    "print(f\"  10.3(b) Maximum number of concurrent short bets: {active_short_max}\")\n",
    "\n",
    "\n",
    "# 10.3(c) Bet size as difference between fractions of concurrent long and short bets\n",
    "# Handle possible division by zero.\n",
    "df_budget = bet_size_budget(events_10_3['t1'], events_10_3['side'])\n",
    "df_budget = df_budget.rename(columns={'bet_size': 'bet_size_budget'})\n",
    "\n",
    "display(df_budget.head(10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the frequency of different bet sizes.\n",
    "# Start by gathering different bet sizes into one DataFrame.\n",
    "betsizes_10_3 = events_2_classes[['bet_size_prob', 'avg_active_bet_size']].copy()\n",
    "betsizes_10_3['bet_size_budget'] = df_budget['bet_size_budget'].copy()\n",
    "\n",
    "# Start plotting code.\n",
    "fig_10_3, ax_10_3 = plt.subplots(figsize=(16, 8))\n",
    "colors = iter(cm.coolwarm(np.linspace(0,1,3)))\n",
    "n_bins = 50\n",
    "for i, col in enumerate(['bet_size_prob', 'avg_active_bet_size', 'bet_size_budget']):\n",
    "    ax_10_3.hist(betsizes_10_3[col], bins=n_bins, alpha=0.75, color=colors.__next__(), label=col)\n",
    "ax_10_3.set_xticks([i/10 for i in range(11)])\n",
    "ax_10_3.set_xlabel(\"Column value\", fontsize=12)\n",
    "ax_10_3.set_ylabel(\"Value count\", fontsize=12)\n",
    "ax_10_3.set_title(\"Figure 10.3: Visualization of distribution of values from exercise 10.3\", fontsize=16)\n",
    "ax_10_3.legend(loc=\"upper left\", fontsize=14, title=\"Bet sizing strategy\", title_fontsize=12)\n",
    "fig_10_3.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure 10.3** visualizes the distributions of bet sizes found in the DataFrame as of exercise 10.3. `bet_size_prob` is the bet size calculated from predicted probilities, $m=2Z[z]-1$, as in section 10.3, and runs between $[0, 1]$ as seen in **Figure 10.1**. `avg_active_bet_size` is the average of the values of active bets in `bet_size_prob` at any given time. Values for `bet_size_budget` are calculated as described in section 10.2, and take on 20 discrete values since the maximum number of concurrent bets is 20 and the minimum is 1 (there is always at least one active bet). "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "#### EXERCISE 10.4\n",
    "Using the `t1` object from exercise 2.d:\n",
    "\n",
    "__(a)__ Compute the series $c_t = c_{t,l} - c_{t,s}$, where $c_{t,l}$ is the number of concurrent long bets at time $t$, and $c_{t,s}$ is the number of concurrent short bets at time $t$.\n",
    "\n",
    "__(b)__ Fit a mixture of two Gaussians on {$c_t$}. You may want to use the method described in López de Prado and Foreman (2014).\n",
    "\n",
    "__(c)__ Derive the bet size as $$m_t = \\begin{cases} \\frac{F[c_t]-F[0]}{1-F[0]}, & \\text{if } c_t\\geq 0\\\\\\\n",
    "                                                     \\frac{F[c_t]-F[0]}{F[0]}, & \\text{if } c_t\\le 0\n",
    "\\end{cases}$$\n",
    "where $F[x]$ is the CDF of the fitted mixture of two Gaussians for a value of $x$.\n",
    "\n",
    "__(d)__ Explain how this series ${m_t}$ differ from the bet size computed in exercise 3.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 10.4(a) compute the series c_t = c_{t,l} (all bets are long)\n",
    "# ======================================================\n",
    "df_events_10_4 = df_budget.copy()\n",
    "df_events_10_4['c_t'] = df_events_10_4['active_long'] - df_events_10_4['active_short']\n",
    "fig_10_4, ax_10_4 = plt.subplots(figsize=(10,6))\n",
    "ax_10_4a = sns.distplot(df_events_10_4['c_t'], bins=20, kde=True, kde_kws={\"bw\":0.6}, norm_hist=False, ax=ax_10_4)\n",
    "ax_10_4a.set_xlabel('$c_t$', fontsize=12)\n",
    "ax_10_4.set_ylabel(\"Value counts\", fontsize=12)\n",
    "ax_10_4a.set_title(\"Figure 10.4(a): Distribution of series $c_t$\", fontsize=14)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure 10.4(a)** shows the distribution of the number of concurrent long bets at any given time $t$. Note the slightly longer tail to the left due to the maximum number of bets being limiting in the start of the sequence."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `bet_size_reserve` function employs the EF3M algorithm on the series $\\{c_t\\}$ after calculating it, essentially following the steps described in exercise 10.4. The `return_parameters` option let's the user see the parameters of the mixture of two Gaussian distributions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "|#########################| Completed 100 of 100 fitting rounds."
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'mu_1': 12.30724, 'mu_2': 13.59736, 'sigma_1': 3.85288, 'sigma_2': 1.99648, 'p_1': 0.01541}\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>t1</th>\n",
       "      <th>side</th>\n",
       "      <th>active_long</th>\n",
       "      <th>active_short</th>\n",
       "      <th>c_t</th>\n",
       "      <th>bet_size</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-01</th>\n",
       "      <td>2000-01-12 15:50:13.258288</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.000015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-02</th>\n",
       "      <td>2000-01-09 05:21:42.152768</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.000047</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-03</th>\n",
       "      <td>2000-01-20 21:28:01.955429</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>0.000110</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>2000-01-24 14:57:44.329568</td>\n",
       "      <td>1</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>0.000229</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>2000-01-08 02:02:41.684181</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>0.000443</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-06</th>\n",
       "      <td>2000-01-18 10:30:20.825595</td>\n",
       "      <td>1</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>0.000842</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-07</th>\n",
       "      <td>2000-01-23 21:01:48.456309</td>\n",
       "      <td>1</td>\n",
       "      <td>7</td>\n",
       "      <td>0</td>\n",
       "      <td>7</td>\n",
       "      <td>0.001755</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-08</th>\n",
       "      <td>2000-01-24 19:13:43.744155</td>\n",
       "      <td>1</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>0.004508</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-09</th>\n",
       "      <td>2000-01-20 00:25:35.457341</td>\n",
       "      <td>1</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>0.004508</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-10</th>\n",
       "      <td>2000-01-15 04:41:49.082182</td>\n",
       "      <td>1</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>0.004508</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                   t1  side  active_long  active_short  c_t  \\\n",
       "2000-01-01 2000-01-12 15:50:13.258288     1            1             0    1   \n",
       "2000-01-02 2000-01-09 05:21:42.152768     1            2             0    2   \n",
       "2000-01-03 2000-01-20 21:28:01.955429     1            3             0    3   \n",
       "2000-01-04 2000-01-24 14:57:44.329568     1            4             0    4   \n",
       "2000-01-05 2000-01-08 02:02:41.684181     1            5             0    5   \n",
       "2000-01-06 2000-01-18 10:30:20.825595     1            6             0    6   \n",
       "2000-01-07 2000-01-23 21:01:48.456309     1            7             0    7   \n",
       "2000-01-08 2000-01-24 19:13:43.744155     1            8             0    8   \n",
       "2000-01-09 2000-01-20 00:25:35.457341     1            8             0    8   \n",
       "2000-01-10 2000-01-15 04:41:49.082182     1            8             0    8   \n",
       "\n",
       "            bet_size  \n",
       "2000-01-01  0.000015  \n",
       "2000-01-02  0.000047  \n",
       "2000-01-03  0.000110  \n",
       "2000-01-04  0.000229  \n",
       "2000-01-05  0.000443  \n",
       "2000-01-06  0.000842  \n",
       "2000-01-07  0.001755  \n",
       "2000-01-08  0.004508  \n",
       "2000-01-09  0.004508  \n",
       "2000-01-10  0.004508  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 10.4(b) Fit a mixture of 2 Gaussians.\n",
    "# 10.4(c) Calculating the bet size using the mixture of 2 Gaussians\n",
    "# ======================================================\n",
    "# This is accomplished using a single mlfinlab function\n",
    "\n",
    "df_reserve, params = bet_size_reserve(df_events_10_4['t1'],\n",
    "                                      df_events_10_4['side'],\n",
    "                                      fit_runs=100,\n",
    "                                      epsilon=1e-05,\n",
    "                                      factor=5,\n",
    "                                      variant=2,\n",
    "                                      max_iter=100_000,\n",
    "                                      num_workers=8,\n",
    "                                      return_parameters=True)\n",
    "\n",
    "print(params)\n",
    "display(df_reserve.head(10))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we add the results from `bet_size_reserve` to the `bet_sizes` DataFrame, and compare the distribution of bet sizes across the three different strategies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "betsizes_10_4 = betsizes_10_3.copy()\n",
    "betsizes_10_4['bet_size_reserve'] = df_reserve['bet_size']\n",
    "\n",
    "# Plotting.\n",
    "fig_10_4c, ax_10_4c = plt.subplots(figsize=(12,8))\n",
    "for c in betsizes_10_4.columns:\n",
    "    ax_10_4c.hist(betsizes_10_4[c].to_numpy(), bins=100, label=c, alpha=0.7)\n",
    "ax_10_4c.legend(loc='upper left', fontsize=12, title=\"Bet sizing strategy\", title_fontsize=10)\n",
    "ax_10_4c.set_xlabel(\"Bet Size, $m_t$\", fontsize=12)\n",
    "ax_10_4c.set_ylabel(\"Value count\", fontsize=12)\n",
    "ax_10_4c.set_title(\"Figure 10.4(c): Bet Size distributions from exercises 10.3 and 10.4\", fontsize=14)\n",
    "ax_10_4.set_ylim((0, 2500))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure 10.4(c)** shows the distribution of bet sizes as calculated in exercises 10.3 and 10.4. `bet_size_budget` is the number of active bets divided by the maximum number of active bets, while `bet_size_reserve` is the bet sizes calculated using the fit mixture of 2 Gaussian distributions. Note that both are 20 discrete values due to the underlying data as previously discussed."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**10.4(d) Discussion**\n",
    "\n",
    "The bet size distribution calculated in exercise 3, `bet_size_budget`, and exercise 4, `bet_size_reserve`, are both made up of discrete values. Since the series $\\{c_t\\}$ is made up of integers between 1 and 20, the bet size from exercise 3, $m_t=c_{t,l}\\frac{1}{\\tilde{c_l}}$, is also a set of discrete values bounded by $[\\frac{1}{\\tilde{c_l}}, 1]$ (since there is always at least 1 active bet for any given $t$). However, $98\\%$ of all bet sizes fall between $[0.45, 0.9]$, with a mean at $0.67$.\n",
    "\n",
    "In exercise 4 the bet size is calculated using $c_t$ as an input, which results in the bet sizes being a series composed of 20 unique values. Here the bet size values are bounded by $(0, 1)$ but are spread out more evenly across the range than in exercise 3; here $98\\%$ of the bet sizes fall between $[0.01, 0.998]$, with a lower mean of $0.50$.\n",
    "\n",
    "Even though we are examining a *long-only* betting strategy, the bet sizes calculated in exercise 4 typically get much closer to zero (i.e. not placing the bet at all), whereas in exercise 3 $99\\%$ of all bet sizes are at least $0.45$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Quantiles of the bet size values as calculated in the previous exercises:\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>bet_size_prob</th>\n",
       "      <th>avg_active_bet_size</th>\n",
       "      <th>bet_size_budget</th>\n",
       "      <th>bet_size_reserve</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0.001</th>\n",
       "      <td>0.000580</td>\n",
       "      <td>0.222422</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.001755</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.01</th>\n",
       "      <td>0.006542</td>\n",
       "      <td>0.279650</td>\n",
       "      <td>0.428571</td>\n",
       "      <td>0.013482</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.05</th>\n",
       "      <td>0.037781</td>\n",
       "      <td>0.332335</td>\n",
       "      <td>0.476190</td>\n",
       "      <td>0.039455</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.25</th>\n",
       "      <td>0.199764</td>\n",
       "      <td>0.416895</td>\n",
       "      <td>0.571429</td>\n",
       "      <td>0.215772</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.5</th>\n",
       "      <td>0.429563</td>\n",
       "      <td>0.474300</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.581295</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.75</th>\n",
       "      <td>0.740689</td>\n",
       "      <td>0.532200</td>\n",
       "      <td>0.714286</td>\n",
       "      <td>0.758814</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.95</th>\n",
       "      <td>0.997446</td>\n",
       "      <td>0.615671</td>\n",
       "      <td>0.809524</td>\n",
       "      <td>0.954799</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.99</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.676717</td>\n",
       "      <td>0.857143</td>\n",
       "      <td>0.985416</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.999</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.756110</td>\n",
       "      <td>0.952381</td>\n",
       "      <td>0.998986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Mean</th>\n",
       "      <td>0.473318</td>\n",
       "      <td>0.474364</td>\n",
       "      <td>0.646548</td>\n",
       "      <td>0.499450</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       bet_size_prob  avg_active_bet_size  bet_size_budget  bet_size_reserve\n",
       "0.001       0.000580             0.222422         0.333333          0.001755\n",
       "0.01        0.006542             0.279650         0.428571          0.013482\n",
       "0.05        0.037781             0.332335         0.476190          0.039455\n",
       "0.25        0.199764             0.416895         0.571429          0.215772\n",
       "0.5         0.429563             0.474300         0.666667          0.581295\n",
       "0.75        0.740689             0.532200         0.714286          0.758814\n",
       "0.95        0.997446             0.615671         0.809524          0.954799\n",
       "0.99        1.000000             0.676717         0.857143          0.985416\n",
       "0.999       1.000000             0.756110         0.952381          0.998986\n",
       "Mean        0.473318             0.474364         0.646548          0.499450"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(\"Quantiles of the bet size values as calculated in the previous exercises:\")\n",
    "display(pd.concat([betsizes_10_4.quantile([0.001, 0.01, 0.05, 0.25, 0.5, 0.75, 0.95, 0.99, 0.999]),\n",
    "                   betsizes_10_4.mean().to_frame(name='Mean').transpose()]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "#### EXERCISE 10.5\n",
    "Repeat exercise 1, where you discretize $m$ with a `stepSize=.01`, `setpSize=.05`, and `stepSize=.1`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1152 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_classes_list = [i for i in range(2, 11, 1)]  # array of number of classes, 2 to 10\n",
    "n = 10_000  # number of points to plot\n",
    "\n",
    "\n",
    "fig_10_5, ax_10_5 = plt.subplots(2, 2, figsize=(20, 16))\n",
    "ax_10_5 = fig_10_5.get_axes()\n",
    "d_list = [0.0, 0.01, 0.05, 0.1]\n",
    "sub_fig_num = ['i', 'ii', 'iii', 'iv']\n",
    "events_10_5 = events_2_classes.copy()  # reuse dataframe structure from previous\n",
    "\n",
    "for i, axi in enumerate(ax_10_5):\n",
    "    colors = iter(cm.coolwarm(np.linspace(0,1,len(num_classes_list))))\n",
    "    for num_classes in num_classes_list:\n",
    "        min_prob, max_prob = 1 / num_classes, 1  # possible range for maximum predicted probability, [1/||X||, 1]\n",
    "        P = np.linspace(min_prob, max_prob, n, endpoint=False)  # range of maximum predicted probabilities to plot\n",
    "        events_10_5['prob'] = P\n",
    "        events_10_5['bet_size_prob'] = bet_size_probability(events=events_10_5, prob=events_10_5['prob'], step_size=d_list[i], num_classes=num_classes)\n",
    "        axi.plot(events_10_5['prob'], events_10_5['bet_size_prob'], label=f\"||X||={num_classes}\", linewidth=2, alpha=1, color=colors.__next__())\n",
    "\n",
    "    axi.set_ylabel(\"Bet Size $m=2Z[z]-1$\", fontsize=14)\n",
    "    axi.set_xlabel(r\"Maximum Predicted Probability $\\tilde{p}=max_i${$p_i$}\", fontsize=14)\n",
    "    axi.set_xticks([0.1*i for i in range(11)])\n",
    "    axi.set_yticks([0.1*i for i in range(11)])\n",
    "    axi.legend(loc=\"upper left\", fontsize=10, title=\"Number of bet size labels\", title_fontsize=11)\n",
    "    axi.set_ylim((0,1.05))\n",
    "    axi.set_xlim((0, 1.05))\n",
    "    d = d_list[i]\n",
    "    if not d==0.0:\n",
    "        axi.set_title(f\"({sub_fig_num[i]}) Discretized Bet Size, d={d}\", fontsize=16)\n",
    "    else:\n",
    "        axi.set_title(f\"({sub_fig_num[i]}) Continuous Bet Size\", fontsize=16)\n",
    "    axi.grid(linewidth=1, linestyle=':')\n",
    "\n",
    "fig_10_5.suptitle(\"Figure 10.5: Plots where bet size $m$ is discretized\", fontsize=18)\n",
    "fig_10_5.tight_layout(pad=4)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure 10.5** shows the bet size calculated from predicted probabilities using (i) a continuous bet size, as well as bet sizes discretized by step sizes of (ii) $d=0.01$, (iii) $d=0.05$, and (iv) $d=0.1$. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "#### EXERCISE 10.6\n",
    "Rewrite the equations in Section 10.6, so that the bet size is determined by a power function rather than a sigmoid function."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can substitute a power function to calculate bet size, $\\tilde{m}$:\n",
    "\n",
    "$$\\tilde{m}[\\omega, x] = sgn[x]|x|^\\omega$$\n",
    "\n",
    "$L[f_i, \\omega, \\tilde{m}]$, the inverse function of $\\tilde{m}[\\omega, x]$ with respect to the market price $p_t$, can be rewritten as:\n",
    "\n",
    "$$L[f_i, \\omega, \\tilde{m}] = f_i - sgn[\\tilde{m}]|\\tilde{m}|^{1/\\omega}$$\n",
    "\n",
    "The inverse of $\\tilde{m}[\\omega, x]$ with respect to $\\omega$ can be rewritten as:\n",
    "\n",
    "$$\\omega = \\frac{log[\\frac{\\tilde{m}}{sgn(x)}]}{log[|x|]}$$\n",
    "\n",
    "Where $x = f_i - p_t$ is still the divergence between the current market price, $p_t$, and the price forecast, $f_i$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "#### EXERCISE 10.7\n",
    "Modify Snippet 10.4 so that in implements the equations you derived in exercise 6."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The code for the modified functions can be found in the [`mlfinlab.bet_sizing.ch10_snippets.py`](https://github.com/hudson-and-thames/mlfinlab/blob/master/mlfinlab/bet_sizing/ch10_snippets.py) file in the `mlfinlab` library. The exercise below creates a figure by employing the `bet_size_power` function from this submodule."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# setup data for replicating Figure 10.3\n",
    "mP, f, wParams = 100, 115, {'divergence': 10, 'm': 0.95}\n",
    "n_points = 1000\n",
    "X = np.linspace(-1.0, 1.0, n_points)\n",
    "\n",
    "w = 2\n",
    "bet_sizes_power = np.array([bet_size_power(w, xi) for xi in X])\n",
    "\n",
    "# plotting\n",
    "fig_10_7, ax_10_7 = plt.subplots(figsize=(10,8))\n",
    "ax_10_7.plot(X, bet_sizes_power, label='$f[x]=sgn[x]|x|^2$', color='blue', linestyle='-')\n",
    "ax_10_7.set_xlabel(\"$x$\", fontsize=16)\n",
    "ax_10_7.set_ylabel(\"$f[x]$\", fontsize=16)\n",
    "ax_10_7.set_xlim((-1, 1))\n",
    "ax_10_7.set_ylim((-1, 1))\n",
    "fig_10_7.suptitle(\"Figure 10.7: Bet Sizes vs. Price Divergence\", fontsize=18)\n",
    "plt.legend(loc='upper left', fontsize=16)\n",
    "fig_10_7.tight_layout(pad=3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure 10.7** shows a plot of bet size vs. price divergence using the same parameters as Figure 10.3 on page 148 of \"Advances in Financial Machine Learning\"."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "mlfinlab",
   "language": "python",
   "name": "mlfinlab"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
